2(5x-9)=22x-x+9

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Solution for 2(5x-9)=22x-x+9 equation:


Simplifying
2(5x + -9) = 22x + -1x + 9

Reorder the terms:
2(-9 + 5x) = 22x + -1x + 9
(-9 * 2 + 5x * 2) = 22x + -1x + 9
(-18 + 10x) = 22x + -1x + 9

Reorder the terms:
-18 + 10x = 9 + 22x + -1x

Combine like terms: 22x + -1x = 21x
-18 + 10x = 9 + 21x

Solving
-18 + 10x = 9 + 21x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-21x' to each side of the equation.
-18 + 10x + -21x = 9 + 21x + -21x

Combine like terms: 10x + -21x = -11x
-18 + -11x = 9 + 21x + -21x

Combine like terms: 21x + -21x = 0
-18 + -11x = 9 + 0
-18 + -11x = 9

Add '18' to each side of the equation.
-18 + 18 + -11x = 9 + 18

Combine like terms: -18 + 18 = 0
0 + -11x = 9 + 18
-11x = 9 + 18

Combine like terms: 9 + 18 = 27
-11x = 27

Divide each side by '-11'.
x = -2.454545455

Simplifying
x = -2.454545455

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